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Finding the Third Proportional to 53,236 and 115,332

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Solution

The third proportional to 53,236 and 115,332 is: 249,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,236 : 115,332 = 115,332 : x
  2. Step 2: Convert to fraction form
    53,236/115,332 = 115,332/x
  3. Step 3: Cross multiply
    53,236x = 115,332 × 115,332
  4. Step 4: Simplify right side
    53,236x = 13,301,470,224
  5. Step 5: Solve for x
    x = 13,301,470,224/53,236
  6. Step 6: Final answer
    x = 249,858.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.